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Arisa [49]
3 years ago
15

Factor completely -5x 2 y + 10xy - 15xy 2

Mathematics
2 answers:
victus00 [196]3 years ago
8 0

-5x^2 y + 10xy - 15xy^2

= -5xy(x - 2 + 3y)

Tems11 [23]3 years ago
4 0
<h2>Answer:</h2>

The factorization is given by:

                5xy(-x+2-3y)  

or we may write it as:

           -5xy(x-2+3y)

<h2>Step-by-step explanation:</h2>

We are asked to factor the algebraic expression which is given by:

                    -5x^2y+10xy-15xy^2

To factor a algebraic expression means to represent the expression in the most simplest form.

i.e. if the terms of the expression have a common factor then we take out common the factor and write the remaining expression in the parentheses.

By looking at the expression we observe that the all the three terms of the expression have a common multiple as: 5xy

Hence, the expression could be written as:

 -5x^2y+10xy-15xy^2=5xy(-x+2-3y)

which could also be written as:

 -5x^2y+10xy-15xy^2=-5xy(x-2+3y)

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Answer: -1.5/6 = -1/4; -1.7/9 = -17/90


Step-by-step explanation: Yeah, I'm not exactly sure what the problem is asking for, but this how I interpreted it. Use the LCD of the fractions -1.5/6 and -1.7/9 to find equivalent fractions with integer numerators and denominators.

For me, LCD doesn't help with solving the problem that much.

But anyways, the first fraction, -1.5, can be turned in an integer if you multiply the entire fraction by 2. So the result would be -3/12. You can simplify this to -1/4.

The second fraction, when multiplied by 10 yields -17/90. 17 is a prime number and is not a factor of 90, thus the equivalent fraction of -1.7/9 is 17/90.

Hope this helped.



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3 years ago
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